85830720 has 112 divisors (see below), whose sum is σ = 282000960. Its totient is φ = 22091776.

The previous prime is 85830707. The next prime is 85830727. The reversal of 85830720 is 2703858.

It is not an unprimeable number, because it can be changed into a prime (85830727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26299 + ... + 29381.

Almost surely, 2^85830720 is an apocalyptic number.

85830720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141000480).

85830720 is an abundant number, since it is smaller than the sum of its proper divisors (196170240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85830720 is a wasteful number, since it uses less digits than its factorization.

85830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 85830720 is about 9264.4870338298. The cubic root of 85830720 is about 441.1106925409.

The spelling of 85830720 in words is "eighty-five million, eight hundred thirty thousand, seven hundred twenty".